论文标题
乘法晶格：最大意味着主要的问题和相关问题
Multiplicative lattices: maximal implies prime and related questions
论文作者
论文摘要
本文的目的是从Facchini，Finocchiaro和Janelidze的意义上加深对乘法晶格的研究。我们提供了一种主要的理想原则，可以保证在各种情况下最大程度地暗示着素数（其中包括具有身份的通勤环）。该结果用于研究M-Systems的乘法封闭集的晶格理论对应物。还从拓扑角度研究了M-System的概念。
The goal of this paper is to deepen the study of multiplicative lattices in the sense of Facchini, Finocchiaro and Janelidze. We provide a sort of Prime Ideal Principle that guarantees that maximal implies prime in a variety of cases (among them the case of commutative rings with identity). This result is used to study the lattice theoretic counterpart of multiplicative closed sets, that of m-systems. The notion of m-system is also studied from the topological point of view.
